The function, f(x), is plotted below.



Evaluate the limits, if they exist. If not, write DNE.

Limit as x approaches negative 1 minusf(x) =

Limit as x approaches 3 plusf(x) =

Limit as x approaches 1 f(x) =

Answer:

18.04/0.2 = 90.2

Step-by-step explanation:

X = 60 is 1 standard deviation above the mean.

X = 75 is 2.5 standard deviations above the mean.

X = 30 is 2 standard deviations below the mean.

To find the z-score for a particular X value, we use the formula:

z = (X - mean)/standard deviation

where X is the given value, mean is the population mean, and standard deviation is the population standard deviation.

For X = 60:

z = (60 - 50)/10 = 1

Therefore, the z-score for X = 60 is 1.

For X = 75:

z = (75 - 50)/10 = 2.5

Therefore, the z-score for X = 75 is 2.5.

For X = 30:

z = (30 - 50)/10 = -2

Therefore, the z-score for X = 30 is -2.

The z-score represents the number of standard deviations that a particular X value is away from the mean. Since the mean z-score is 0 and a positive z-score means that the X value is above the average.

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Answer: The correct answer is C

x-1/8y^2=0

Step-by-step explanation: i took the test and got it right

Answer:

2923.34

Step-by-step explanation:

π×r²×h

3.14 ×7 ²×19 2923.34

2923.34

Step-by-step explanation:

the formula for the volume of a cylinder is V = 3.14 × radius squared × h. So 3.14 × 49 × 19 which equals 2924.82

Answer:

Perimeter of base = 18 ft

Height = 7 ft

Base area = 12ft²

SA= 150 ft² *

Step-by-step explanation:

Perimeter of base = 8+5+5=18 ft

Height = 7 ft

Base area = 1/2x8x3=12ft²

SA= (8x7)+(12+12)+2(5x7)=56+24+70=150 ft²

*There are several different way to figure out the surface area, so I’m not sure exactly how they want it displayed.  150 is the answer though.  Plus, I think there was supposed to be an addition sign between the first two parentheses.

9514 1404 393

Answer:

  592 feet

  8.5 seconds

Step-by-step explanation:

The usual equation used for ballistic motion is ...

  h(t) = -16t^2 +h0

Here, we have h0=1168 and t=6, so ...

  h(t) = -16(6^2) +1168 = 592 . . . feet high after 6 seconds

__

For h(t) = 0, the value of t can be found from ...

  0 = -16t^2 +1168

  t^2 = 1168/16 = 73

  t = √73 ≈ 8.5

The object will reach the ground after 8.5 seconds.

Answer:

0.73

Step-by-step explanation:I use khan too 0.7 is 10 times as great as 0.07

Answer:

The defendant has offered to make annual payments of $23,000, $29,000, $56,000, and $84,000 to you each year over the next four years,

Answer:

16/64 and 1/4

Step-by-step explanation:

1/4 x 16/16 = 16/64

1 x 16 / 4 x 16 = 16/64

16/64 = 16/64

Step-by-step explanation:

The value should be

0.8x-3.8x=-16-14

-3x=-30

X= -30/-3= 10 Answer

C. Reflected over the y-axis and translated up 1 unit

Answer:

The answer is C

Step-by-step explanation:

Answer:

f=160

Step-by-step explanation:

all you really need to do is multiply 20 and 8 and you end up with 160

Answer:

25.54

Step-by-step explanation:

somebody say it on the comments :)

The probability that a randomly selected point within the circle falls in the red-shaded area is 75.61%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We need to find the probability that a randomly selected point within the circle falls in the white area.

We have been given the following parameters;

Radius r = 4 cm

a = 3.2 cm

S = 4.7 cm

The area of the circle A = πr²

A = π(4)²

A = 16π square cm

Here, The total number of outcomes = 16π square cm = 50.26 square cm

The side length of the pentagon a = 4.7 cm

The area of the pentagon can be calculated using:

Area = (1/4)√[5(5+2√5)]a²

Plug a = 4.7

Area = (1/4)√[5(5+2√5)](4.7)²

After calculating, we get;

Area = 38.01 square cm

The Total favorable outcomes = 38.01 square cm

The probability = 38.01/50.26

The probability = 0.7561

In percent,

The probability = 75.61%

Therefore, the probability that a randomly selected point within the circle falls in the red-shaded area is 75.61%.

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Answer:

he action or condition of becoming or being made wider, larger, or more open.

Step-by-step explanation:

Answer:

180 people

Step-by-step explanation:

Total of people surveyed = 1,000

% of people that selected travelling as their favorite hobby = 18 %

Number of people that selected travelling = % that selected travelling of 1,000

= 18% of 1,000

= 18/100 × 1,000

= 180 people

Therefore, 180 people selected travelling as their favorite hobby.

Answer:

10

Step-by-step explanation:

5+9+10+11+12+13=60 divided by 6 = 10

Mean = Sum of all observations/Number of observations

Mean = 12 + 13 + 9 + 5 + 11 + 10/6

=60/6

= 10

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Answer:

a.) 4

Step-by-step explanation:

a.)4

Answer:

Angle X = 73 degrees, Angle Z = 34 degrees, and Angle Y = 146 degrees

Answer:

81

Step-by-step explanation:

√x > 9

Squaring both sides, you will get

x > 81

Answer:

32

Step-by-step explanation:

a door is rectangular in shape

area = length × breadth

8 × 4

32

answer:

The area of the door is 32 square ft

Answer:

73 is the correct answer

Step-by-step explanation:

I would pick 3 and 6

or C and F

Answer:

i think the answer would be 156° .

hope it helps you ^.^

Answer:

x = [tex]\frac{19+\sqrt{365}}{2}, \frac{19-\sqrt{365}}{2}[/tex]

Step-by-step explanation:

1. Move everything to one side of the equation.

x^2 - 19x - 1 = 0

2. Use the quadratic formula where a = 1, b = -19, and c = -1.

x = (-b +- sqrt(b^2-4ac)) / 2a

If you plug those numbers into that formula, you will get the result listed above

Answer:

B

x₁ = [tex]\frac{19-\sqrt{365}}{2}[/tex], x₂ = [tex]\frac{19+\sqrt{365} }{2}[/tex]

Step-by-step explanation:

Answer: Car travels 36 miles on 1 gallon of gas

Step-by-step explanation:

[tex]\frac{12}{1}[/tex]   ÷  [tex]\frac{1}{3}[/tex]

12*3 (reciprocal)

36 ( car travels 36 miles on 1 gallon of gas )

Answer:

10 times

Step-by-step explanation:

382,000 divided by 38,200 = 10

Answer:

500 + 3(s) ≥ 1200

Step-by-step explanation:

Ok so the goal is to earn 1,200 / month

We know that she already earns 500/month

So lets do some subtraction

Because she needs to make ATLEAST 1,200, well use either ≤ or ≥

Lets call (s) the number of sales she makes

Lets form the inequality

500 + 3(s) ≥ 1200

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Answer:

The cost of the bench is $475

Step-by-step explanation:

Let cost of garden table= x and cost of bench= y

x + y = 996 (eqn 1)

x - y = 46 (eqn 2)

eqn 1 + eqn 2

2x = 1042

2x/2 = 1042/2

x = 521

The cost of the garden table is $521.

Substitute x = 521 into eqn 1

x + y = 996

521 + y = 996

y = 996 - 521

y = 475

The cost of the bench is $475.